Algebraic fundamental group and simplicial complexes

Eric Reynaud (1)

1 I3M - Institut de Mathématiques et de Modélisation de Montpellier

In this paper we prove that the fundamental group of a simplicial complex is isomorphic to the algebraic fundamental group of its incidence algebra, and we derive some applications.

Mots clés: fundamental group; Representation of Algebra; Simplicial complexes

Domaines: K-théorie et homologie [math.KT]; Topologie algébrique [math.AT]

Eric Reynaud. Algebraic fundamental group and simplicial complexes. Journal of Pure and Applied Algebra, 2003, 177 (2003), pp.203-214. ⟨10.1016/S0022-4049(02)00071-3⟩. ⟨hal-00202430⟩